結果
問題 | No.2065 Sum of Min |
ユーザー | maspy |
提出日時 | 2024-07-19 21:09:51 |
言語 | C++23 (gcc 12.3.0 + boost 1.83.0) |
結果 |
WA
|
実行時間 | - |
コード長 | 32,879 bytes |
コンパイル時間 | 4,458 ms |
コンパイル使用メモリ | 298,100 KB |
実行使用メモリ | 5,760 KB |
最終ジャッジ日時 | 2024-07-19 21:10:00 |
合計ジャッジ時間 | 8,079 ms |
ジャッジサーバーID (参考情報) |
judge5 / judge4 |
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テストケース
テストケース表示入力 | 結果 | 実行時間 実行使用メモリ |
---|---|---|
testcase_00 | WA | - |
testcase_01 | AC | 2 ms
5,376 KB |
testcase_02 | WA | - |
testcase_03 | WA | - |
testcase_04 | WA | - |
testcase_05 | WA | - |
testcase_06 | WA | - |
testcase_07 | AC | 11 ms
5,632 KB |
testcase_08 | WA | - |
testcase_09 | WA | - |
testcase_10 | WA | - |
testcase_11 | WA | - |
testcase_12 | WA | - |
testcase_13 | WA | - |
testcase_14 | WA | - |
testcase_15 | WA | - |
testcase_16 | WA | - |
testcase_17 | WA | - |
testcase_18 | WA | - |
testcase_19 | WA | - |
testcase_20 | WA | - |
testcase_21 | WA | - |
ソースコード
#line 1 "main.cpp" #define PROBLEM "https://yukicoder.me/problems/no/2065" #line 1 "library/my_template.hpp" #if defined(LOCAL) #include <my_template_compiled.hpp> #else // https://codeforces.com/blog/entry/96344 #pragma GCC optimize("Ofast,unroll-loops") // いまの CF だとこれ入れると動かない? // #pragma GCC target("avx2,popcnt") #include <bits/stdc++.h> using namespace std; using ll = long long; using u32 = unsigned int; using u64 = unsigned long long; using i128 = __int128; using u128 = unsigned __int128; using f128 = __float128; template <class T> constexpr T infty = 0; template <> constexpr int infty<int> = 1'000'000'000; template <> constexpr ll infty<ll> = ll(infty<int>) * infty<int> * 2; template <> constexpr u32 infty<u32> = infty<int>; template <> constexpr u64 infty<u64> = infty<ll>; template <> constexpr i128 infty<i128> = i128(infty<ll>) * infty<ll>; template <> constexpr double infty<double> = infty<ll>; template <> constexpr long double infty<long double> = infty<ll>; using pi = pair<ll, ll>; using vi = vector<ll>; template <class T> using vc = vector<T>; template <class T> using vvc = vector<vc<T>>; template <class T> using vvvc = vector<vvc<T>>; template <class T> using vvvvc = vector<vvvc<T>>; template <class T> using vvvvvc = vector<vvvvc<T>>; template <class T> using pq = priority_queue<T>; template <class T> using pqg = priority_queue<T, vector<T>, greater<T>>; #define vv(type, name, h, ...) \ vector<vector<type>> name(h, vector<type>(__VA_ARGS__)) #define vvv(type, name, h, w, ...) \ vector<vector<vector<type>>> name( \ h, vector<vector<type>>(w, vector<type>(__VA_ARGS__))) #define vvvv(type, name, a, b, c, ...) \ vector<vector<vector<vector<type>>>> name( \ a, vector<vector<vector<type>>>( \ b, vector<vector<type>>(c, vector<type>(__VA_ARGS__)))) // https://trap.jp/post/1224/ #define FOR1(a) for (ll _ = 0; _ < ll(a); ++_) #define FOR2(i, a) for (ll i = 0; i < ll(a); ++i) #define FOR3(i, a, b) for (ll i = a; i < ll(b); ++i) #define FOR4(i, a, b, c) for (ll i = a; i < ll(b); i += (c)) #define FOR1_R(a) for (ll i = (a)-1; i >= ll(0); --i) #define FOR2_R(i, a) for (ll i = (a)-1; i >= ll(0); --i) #define FOR3_R(i, a, b) for (ll i = (b)-1; i >= ll(a); --i) #define overload4(a, b, c, d, e, ...) e #define overload3(a, b, c, d, ...) d #define FOR(...) overload4(__VA_ARGS__, FOR4, FOR3, FOR2, FOR1)(__VA_ARGS__) #define FOR_R(...) overload3(__VA_ARGS__, FOR3_R, FOR2_R, FOR1_R)(__VA_ARGS__) #define FOR_subset(t, s) \ for (ll t = (s); t >= 0; t = (t == 0 ? -1 : (t - 1) & (s))) #define all(x) x.begin(), x.end() #define len(x) ll(x.size()) #define elif else if #define eb emplace_back #define mp make_pair #define mt make_tuple #define fi first #define se second #define stoi stoll int popcnt(int x) { return __builtin_popcount(x); } int popcnt(u32 x) { return __builtin_popcount(x); } int popcnt(ll x) { return __builtin_popcountll(x); } int popcnt(u64 x) { return __builtin_popcountll(x); } int popcnt_mod_2(int x) { return __builtin_parity(x); } int popcnt_mod_2(u32 x) { return __builtin_parity(x); } int popcnt_mod_2(ll x) { return __builtin_parityll(x); } int popcnt_mod_2(u64 x) { return __builtin_parityll(x); } // (0, 1, 2, 3, 4) -> (-1, 0, 1, 1, 2) int topbit(int x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(u32 x) { return (x == 0 ? -1 : 31 - __builtin_clz(x)); } int topbit(ll x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } int topbit(u64 x) { return (x == 0 ? -1 : 63 - __builtin_clzll(x)); } // (0, 1, 2, 3, 4) -> (-1, 0, 1, 0, 2) int lowbit(int x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int lowbit(u32 x) { return (x == 0 ? -1 : __builtin_ctz(x)); } int lowbit(ll x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } int lowbit(u64 x) { return (x == 0 ? -1 : __builtin_ctzll(x)); } template <typename T> T floor(T a, T b) { return a / b - (a % b && (a ^ b) < 0); } template <typename T> T ceil(T x, T y) { return floor(x + y - 1, y); } template <typename T> T bmod(T x, T y) { return x - y * floor(x, y); } template <typename T> pair<T, T> divmod(T x, T y) { T q = floor(x, y); return {q, x - q * y}; } template <typename T, typename U> T SUM(const vector<U> &A) { T sm = 0; for (auto &&a: A) sm += a; return sm; } #define MIN(v) *min_element(all(v)) #define MAX(v) *max_element(all(v)) #define LB(c, x) distance((c).begin(), lower_bound(all(c), (x))) #define UB(c, x) distance((c).begin(), upper_bound(all(c), (x))) #define UNIQUE(x) \ sort(all(x)), x.erase(unique(all(x)), x.end()), x.shrink_to_fit() template <typename T> T POP(deque<T> &que) { T a = que.front(); que.pop_front(); return a; } template <typename T> T POP(pq<T> &que) { T a = que.top(); que.pop(); return a; } template <typename T> T POP(pqg<T> &que) { T a = que.top(); que.pop(); return a; } template <typename T> T POP(vc<T> &que) { T a = que.back(); que.pop_back(); return a; } template <typename F> ll binary_search(F check, ll ok, ll ng, bool check_ok = true) { if (check_ok) assert(check(ok)); while (abs(ok - ng) > 1) { auto x = (ng + ok) / 2; (check(x) ? ok : ng) = x; } return ok; } template <typename F> double binary_search_real(F check, double ok, double ng, int iter = 100) { FOR(iter) { double x = (ok + ng) / 2; (check(x) ? ok : ng) = x; } return (ok + ng) / 2; } template <class T, class S> inline bool chmax(T &a, const S &b) { return (a < b ? a = b, 1 : 0); } template <class T, class S> inline bool chmin(T &a, const S &b) { return (a > b ? a = b, 1 : 0); } // ? は -1 vc<int> s_to_vi(const string &S, char first_char) { vc<int> A(S.size()); FOR(i, S.size()) { A[i] = (S[i] != '?' ? S[i] - first_char : -1); } return A; } template <typename T, typename U> vector<T> cumsum(vector<U> &A, int off = 1) { int N = A.size(); vector<T> B(N + 1); FOR(i, N) { B[i + 1] = B[i] + A[i]; } if (off == 0) B.erase(B.begin()); return B; } // stable sort template <typename T> vector<int> argsort(const vector<T> &A) { vector<int> ids(len(A)); iota(all(ids), 0); sort(all(ids), [&](int i, int j) { return (A[i] == A[j] ? i < j : A[i] < A[j]); }); return ids; } // A[I[0]], A[I[1]], ... template <typename T> vc<T> rearrange(const vc<T> &A, const vc<int> &I) { vc<T> B(len(I)); FOR(i, len(I)) B[i] = A[I[i]]; return B; } #endif #line 1 "library/other/io.hpp" #define FASTIO #include <unistd.h> // https://judge.yosupo.jp/submission/21623 namespace fastio { static constexpr uint32_t SZ = 1 << 17; char ibuf[SZ]; char obuf[SZ]; char out[100]; // pointer of ibuf, obuf uint32_t pil = 0, pir = 0, por = 0; struct Pre { char num[10000][4]; constexpr Pre() : num() { for (int i = 0; i < 10000; i++) { int n = i; for (int j = 3; j >= 0; j--) { num[i][j] = n % 10 | '0'; n /= 10; } } } } constexpr pre; inline void load() { memcpy(ibuf, ibuf + pil, pir - pil); pir = pir - pil + fread(ibuf + pir - pil, 1, SZ - pir + pil, stdin); pil = 0; if (pir < SZ) ibuf[pir++] = '\n'; } inline void flush() { fwrite(obuf, 1, por, stdout); por = 0; } void rd(char &c) { do { if (pil + 1 > pir) load(); c = ibuf[pil++]; } while (isspace(c)); } void rd(string &x) { x.clear(); char c; do { if (pil + 1 > pir) load(); c = ibuf[pil++]; } while (isspace(c)); do { x += c; if (pil == pir) load(); c = ibuf[pil++]; } while (!isspace(c)); } template <typename T> void rd_real(T &x) { string s; rd(s); x = stod(s); } template <typename T> void rd_integer(T &x) { if (pil + 100 > pir) load(); char c; do c = ibuf[pil++]; while (c < '-'); bool minus = 0; if constexpr (is_signed<T>::value || is_same_v<T, i128>) { if (c == '-') { minus = 1, c = ibuf[pil++]; } } x = 0; while ('0' <= c) { x = x * 10 + (c & 15), c = ibuf[pil++]; } if constexpr (is_signed<T>::value || is_same_v<T, i128>) { if (minus) x = -x; } } void rd(int &x) { rd_integer(x); } void rd(ll &x) { rd_integer(x); } void rd(i128 &x) { rd_integer(x); } void rd(u32 &x) { rd_integer(x); } void rd(u64 &x) { rd_integer(x); } void rd(u128 &x) { rd_integer(x); } void rd(double &x) { rd_real(x); } void rd(long double &x) { rd_real(x); } void rd(f128 &x) { rd_real(x); } template <class T, class U> void rd(pair<T, U> &p) { return rd(p.first), rd(p.second); } template <size_t N = 0, typename T> void rd_tuple(T &t) { if constexpr (N < std::tuple_size<T>::value) { auto &x = std::get<N>(t); rd(x); rd_tuple<N + 1>(t); } } template <class... T> void rd(tuple<T...> &tpl) { rd_tuple(tpl); } template <size_t N = 0, typename T> void rd(array<T, N> &x) { for (auto &d: x) rd(d); } template <class T> void rd(vc<T> &x) { for (auto &d: x) rd(d); } void read() {} template <class H, class... T> void read(H &h, T &... t) { rd(h), read(t...); } void wt(const char c) { if (por == SZ) flush(); obuf[por++] = c; } void wt(const string s) { for (char c: s) wt(c); } void wt(const char *s) { size_t len = strlen(s); for (size_t i = 0; i < len; i++) wt(s[i]); } template <typename T> void wt_integer(T x) { if (por > SZ - 100) flush(); if (x < 0) { obuf[por++] = '-', x = -x; } int outi; for (outi = 96; x >= 10000; outi -= 4) { memcpy(out + outi, pre.num[x % 10000], 4); x /= 10000; } if (x >= 1000) { memcpy(obuf + por, pre.num[x], 4); por += 4; } else if (x >= 100) { memcpy(obuf + por, pre.num[x] + 1, 3); por += 3; } else if (x >= 10) { int q = (x * 103) >> 10; obuf[por] = q | '0'; obuf[por + 1] = (x - q * 10) | '0'; por += 2; } else obuf[por++] = x | '0'; memcpy(obuf + por, out + outi + 4, 96 - outi); por += 96 - outi; } template <typename T> void wt_real(T x) { ostringstream oss; oss << fixed << setprecision(15) << double(x); string s = oss.str(); wt(s); } void wt(int x) { wt_integer(x); } void wt(ll x) { wt_integer(x); } void wt(i128 x) { wt_integer(x); } void wt(u32 x) { wt_integer(x); } void wt(u64 x) { wt_integer(x); } void wt(u128 x) { wt_integer(x); } void wt(double x) { wt_real(x); } void wt(long double x) { wt_real(x); } void wt(f128 x) { wt_real(x); } template <class T, class U> void wt(const pair<T, U> val) { wt(val.first); wt(' '); wt(val.second); } template <size_t N = 0, typename T> void wt_tuple(const T t) { if constexpr (N < std::tuple_size<T>::value) { if constexpr (N > 0) { wt(' '); } const auto x = std::get<N>(t); wt(x); wt_tuple<N + 1>(t); } } template <class... T> void wt(tuple<T...> tpl) { wt_tuple(tpl); } template <class T, size_t S> void wt(const array<T, S> val) { auto n = val.size(); for (size_t i = 0; i < n; i++) { if (i) wt(' '); wt(val[i]); } } template <class T> void wt(const vector<T> val) { auto n = val.size(); for (size_t i = 0; i < n; i++) { if (i) wt(' '); wt(val[i]); } } void print() { wt('\n'); } template <class Head, class... Tail> void print(Head &&head, Tail &&... tail) { wt(head); if (sizeof...(Tail)) wt(' '); print(forward<Tail>(tail)...); } // gcc expansion. called automaticall after main. void __attribute__((destructor)) _d() { flush(); } } // namespace fastio using fastio::read; using fastio::print; using fastio::flush; #if defined(LOCAL) #define SHOW(...) \ SHOW_IMPL(__VA_ARGS__, SHOW4, SHOW3, SHOW2, SHOW1)(__VA_ARGS__) #define SHOW_IMPL(_1, _2, _3, _4, NAME, ...) NAME #define SHOW1(x) print(#x, "=", (x)), flush() #define SHOW2(x, y) print(#x, "=", (x), #y, "=", (y)), flush() #define SHOW3(x, y, z) print(#x, "=", (x), #y, "=", (y), #z, "=", (z)), flush() #define SHOW4(x, y, z, w) \ print(#x, "=", (x), #y, "=", (y), #z, "=", (z), #w, "=", (w)), flush() #else #define SHOW(...) #endif #define INT(...) \ int __VA_ARGS__; \ read(__VA_ARGS__) #define LL(...) \ ll __VA_ARGS__; \ read(__VA_ARGS__) #define U32(...) \ u32 __VA_ARGS__; \ read(__VA_ARGS__) #define U64(...) \ u64 __VA_ARGS__; \ read(__VA_ARGS__) #define STR(...) \ string __VA_ARGS__; \ read(__VA_ARGS__) #define CHAR(...) \ char __VA_ARGS__; \ read(__VA_ARGS__) #define DBL(...) \ double __VA_ARGS__; \ read(__VA_ARGS__) #define VEC(type, name, size) \ vector<type> name(size); \ read(name) #define VV(type, name, h, w) \ vector<vector<type>> name(h, vector<type>(w)); \ read(name) void YES(bool t = 1) { print(t ? "YES" : "NO"); } void NO(bool t = 1) { YES(!t); } void Yes(bool t = 1) { print(t ? "Yes" : "No"); } void No(bool t = 1) { Yes(!t); } void yes(bool t = 1) { print(t ? "yes" : "no"); } void no(bool t = 1) { yes(!t); } #line 1 "library/ds/bit_vector.hpp" struct Bit_Vector { int n; vc<pair<u64, u32>> dat; Bit_Vector(int n) : n(n) { dat.assign((n + 127) >> 6, {0, 0}); } void set(int i) { dat[i >> 6].fi |= u64(1) << (i & 63); } void reset() { fill(all(dat), pair<u64, u32>{0, 0}); } void build() { FOR(i, len(dat) - 1) dat[i + 1].se = dat[i].se + popcnt(dat[i].fi); } // [0, k) 内の 1 の個数 int count(int k, bool f) { auto [a, b] = dat[k >> 6]; int ret = b + popcnt(a & ((u64(1) << (k & 63)) - 1)); return (f ? ret : k - ret); } int count(int L, int R, bool f) { return count(R, f) - count(L, f); } string to_string() { string ans; FOR(i, n) ans += '0' + (dat[i / 64].fi >> (i % 64) & 1); return ans; } }; #line 1 "library/ds/index_compression.hpp" template <typename T> struct Index_Compression_DISTINCT_SMALL { static_assert(is_same_v<T, int>); int mi, ma; vc<int> dat; vc<int> build(vc<int> X) { mi = 0, ma = -1; if (!X.empty()) mi = MIN(X), ma = MAX(X); dat.assign(ma - mi + 2, 0); for (auto& x: X) dat[x - mi + 1]++; FOR(i, len(dat) - 1) dat[i + 1] += dat[i]; for (auto& x: X) { x = dat[x - mi]++; } FOR_R(i, 1, len(dat)) dat[i] = dat[i - 1]; dat[0] = 0; return X; } int operator()(ll x) { return dat[clamp<ll>(x - mi, 0, ma - mi + 1)]; } }; template <typename T> struct Index_Compression_SAME_SMALL { static_assert(is_same_v<T, int>); int mi, ma; vc<int> dat; vc<int> build(vc<int> X) { mi = 0, ma = -1; if (!X.empty()) mi = MIN(X), ma = MAX(X); dat.assign(ma - mi + 2, 0); for (auto& x: X) dat[x - mi + 1] = 1; FOR(i, len(dat) - 1) dat[i + 1] += dat[i]; for (auto& x: X) { x = dat[x - mi]; } return X; } int operator()(ll x) { return dat[clamp<ll>(x - mi, 0, ma - mi + 1)]; } }; template <typename T> struct Index_Compression_SAME_LARGE { vc<T> dat; vc<int> build(vc<T> X) { vc<int> I = argsort(X); vc<int> res(len(X)); for (auto& i: I) { if (!dat.empty() && dat.back() == X[i]) { res[i] = len(dat) - 1; } else { res[i] = len(dat); dat.eb(X[i]); } } dat.shrink_to_fit(); return res; } int operator()(T x) { return LB(dat, x); } }; template <typename T> struct Index_Compression_DISTINCT_LARGE { vc<T> dat; vc<int> build(vc<T> X) { vc<int> I = argsort(X); vc<int> res(len(X)); for (auto& i: I) { res[i] = len(dat), dat.eb(X[i]); } dat.shrink_to_fit(); return res; } int operator()(T x) { return LB(dat, x); } }; template <typename T, bool SMALL> using Index_Compression_DISTINCT = typename std::conditional<SMALL, Index_Compression_DISTINCT_SMALL<T>, Index_Compression_DISTINCT_LARGE<T>>::type; template <typename T, bool SMALL> using Index_Compression_SAME = typename std::conditional<SMALL, Index_Compression_SAME_SMALL<T>, Index_Compression_SAME_LARGE<T>>::type; // SAME: [2,3,2] -> [0,1,0] // DISTINCT: [2,2,3] -> [0,2,1] // (x): lower_bound(X,x) をかえす template <typename T, bool SAME, bool SMALL> using Index_Compression = typename std::conditional<SAME, Index_Compression_SAME<T, SMALL>, Index_Compression_DISTINCT<T, SMALL>>::type; #line 2 "library/alg/monoid/add.hpp" template <typename E> struct Monoid_Add { using X = E; using value_type = X; static constexpr X op(const X &x, const X &y) noexcept { return x + y; } static constexpr X inverse(const X &x) noexcept { return -x; } static constexpr X power(const X &x, ll n) noexcept { return X(n) * x; } static constexpr X unit() { return X(0); } static constexpr bool commute = true; }; #line 4 "library/ds/wavelet_matrix/wavelet_matrix.hpp" // 静的メソッドinverseの存在をチェックするテンプレート template <typename, typename = std::void_t<>> struct has_inverse : std::false_type {}; template <typename T> struct has_inverse<T, std::void_t<decltype( T::inverse(std::declval<typename T::value_type>()))>> : std::true_type {}; struct Dummy_Data_Structure { using MX = Monoid_Add<bool>; void build(const vc<bool>& A) {} }; template <typename Y, bool SMALL_Y, typename SEGTREE = Dummy_Data_Structure> struct Wavelet_Matrix { using Mono = typename SEGTREE::MX; using T = typename Mono::value_type; static_assert(Mono::commute); int n, log, K; Index_Compression<Y, true, SMALL_Y> IDX; vc<Y> ItoY; vc<int> mid; vc<Bit_Vector> bv; vc<SEGTREE> seg; Wavelet_Matrix() {} Wavelet_Matrix(const vc<Y>& A) { build(A); } Wavelet_Matrix(const vc<Y>& A, vc<T>& SUM_Data) { build(A, SUM_Data); } template <typename F> Wavelet_Matrix(int n, F f) { build(n, f); } template <typename F> void build(int m, F f) { vc<Y> A(m); vc<T> S(m); for (int i = 0; i < m; ++i) tie(A[i], S[i]) = f(i); } void build(const vc<Y>& A) { build(A, vc<T>(len(A), Mono::unit())); } void build(const vc<Y>& A, vc<T> S) { n = len(A); vc<int> B = IDX.build(A); K = 0; for (auto& x: B) chmax(K, x + 1); ItoY.resize(K); FOR(i, n) ItoY[B[i]] = A[i]; log = 0; while ((1 << log) < K) ++log; mid.resize(log), bv.assign(log, Bit_Vector(n)); vc<int> B0(n), B1(n); vc<T> S0(n), S1(n); seg.resize(log + 1); seg[log].build(S); for (int d = log - 1; d >= 0; --d) { int p0 = 0, p1 = 0; for (int i = 0; i < n; ++i) { bool f = (B[i] >> d & 1); if (!f) { B0[p0] = B[i], S0[p0] = S[i], p0++; } if (f) { bv[d].set(i), B1[p1] = B[i], S1[p1] = S[i], p1++; } } swap(B, B0), swap(S, S0); move(B1.begin(), B1.begin() + p1, B.begin() + p0); move(S1.begin(), S1.begin() + p1, S.begin() + p0); mid[d] = p0, bv[d].build(), seg[d].build(S); } } // [L,R) x [0,y) int prefix_count(int L, int R, Y y) { int p = IDX(y); if (p == 0) return 0; if (p == K) return R - L; int cnt = 0; for (int d = log - 1; d >= 0; --d) { int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; if (p >> d & 1) cnt += r0 - l0, L = l1, R = r1; if (!(p >> d & 1)) L = l0, R = r0; } return cnt; } // [L,R) x [y1,y2) int count(int L, int R, Y y1, Y y2) { return prefix_count(L, R, y2) - prefix_count(L, R, y1); } // [L,R) x [0,y) pair<int, T> prefix_count_and_prod(int L, int R, Y y) { int p = IDX(y); if (p == 0) return {0, Mono::unit()}; if (p == K) return {R - L, seg[log].prod(L, R)}; int cnt = 0; T t = Mono::unit(); for (int d = log - 1; d >= 0; --d) { int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; if (p >> d & 1) { cnt += r0 - l0, t = Mono::op(t, seg[d].prod(l0, r0)), L = l1, R = r1; } if (!(p >> d & 1)) L = l0, R = r0; } return {cnt, t}; } // [L,R) x [y1,y2) pair<int, T> count_and_prod(int L, int R, Y y1, Y y2) { if constexpr (has_inverse<Mono>::value) { auto [c1, t1] = prefix_count_and_prod(L, R, y1); auto [c2, t2] = prefix_count_and_prod(L, R, y2); return {c2 - c1, Mono::op(Mono::inverse(t1), t2)}; } int lo = IDX(y1), hi = IDX(y2), cnt = 0; T t = Mono::unit(); auto dfs = [&](auto& dfs, int d, int L, int R, int a, int b) -> void { assert(b - a == (1 << d)); if (hi <= a || b <= lo) return; if (lo <= a && b <= hi) { cnt += R - L, t = Mono::op(t, seg[d].prod(L, R)); return; } --d; int c = (a + b) / 2; int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; dfs(dfs, d, l0, r0, a, c), dfs(dfs, d, l1, r1, c, b); }; dfs(dfs, log, L, R, 0, 1 << log); return {cnt, t}; } // [L,R) x [y1,y2) T prefix_prod(int L, int R, Y y) { return prefix_count_and_prod(L, R, y).se; } // [L,R) x [y1,y2) T prod(int L, int R, Y y1, Y y2) { return count_and_prod(L, R, y1, y2).se; } Y kth(int L, int R, int k) { assert(0 <= k && k < R - L); int p = 0; for (int d = log - 1; d >= 0; --d) { int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; if (k < r0 - l0) { L = l0, R = r0; } else { k -= r0 - l0, L = l1, R = r1, p |= 1 << d; } } return ItoY[p]; } // y 以上最小 OR infty<Y> Y next(int L, int R, Y y) { int k = IDX(y); int p = K; auto dfs = [&](auto& dfs, int d, int L, int R, int a, int b) -> void { if (p <= a || L == R || b <= k) return; if (d == 0) { chmin(p, a); return; } --d; int c = (a + b) / 2; int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; dfs(dfs, d, l0, r0, a, c), dfs(dfs, d, l1, r1, c, b); }; dfs(dfs, log, L, R, 0, 1 << log); return (p == K ? infty<Y> : ItoY[p]); } // y 以下最大 OR -infty<T> Y prev(int L, int R, Y y) { int k = IDX(y + 1); int p = -1; auto dfs = [&](auto& dfs, int d, int L, int R, int a, int b) -> void { if (b - 1 <= p || L == R || k <= a) return; if (d == 0) { chmax(p, a); return; } --d; int c = (a + b) / 2; int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; dfs(dfs, d, l1, r1, c, b), dfs(dfs, d, l0, r0, a, c); }; dfs(dfs, log, L, R, 0, 1 << log); return (p == -1 ? -infty<Y> : ItoY[p]); } Y median(bool UPPER, int L, int R) { assert(0 <= L && L < R && R <= n); int k = (UPPER ? (R - L) / 2 : (R - L - 1) / 2); return kth(L, R, k); } pair<Y, T> kth_value_and_prod(int L, int R, int k) { assert(0 <= k && k <= R - L); if (k == R - L) return {infty<Y>, seg[log].prod(L, R)}; int p = 0; T t = Mono::unit(); for (int d = log - 1; d >= 0; --d) { int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; if (k < r0 - l0) { L = l0, R = r0; } else { t = Mono::op(t, seg[d].prod(l0, r0)), k -= r0 - l0, L = l1, R = r1, p |= 1 << d; } } t = Mono::op(t, seg[0].prod(L, L + k)); return {ItoY[p], t}; } T prod_index_range(int L, int R, int k1, int k2) { static_assert(has_inverse<Mono>::value); T t1 = kth_value_and_prod(L, R, k1).se; T t2 = kth_value_and_prod(L, R, k2).se; return Mono::op(Mono::inverse(t1), t2); } // [L,R) x [0,y) での check(cnt, prod) が true となる最大の (cnt,prod) template <typename F> pair<int, T> max_right(F check, int L, int R) { int cnt = 0; T t = Mono::unit(); assert(check(0, Mono::unit())); if (check(R - L, seg[log].prod(L, R))) { return {R - L, seg[log].prod(L, R)}; } for (int d = log - 1; d >= 0; --d) { int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; int cnt1 = cnt + r0 - l0, t1 = Mono::op(t, seg[d].prod(l0, r0)); if (check(cnt1, t1)) { cnt = cnt1, t = t1, L = l1, R = r1; } else { L = l0, R = r0; } } return {cnt, t}; } void set(int i, T t) { assert(0 <= i && i < n); int L = i, R = i + 1; seg[log].set(L, t); for (int d = log - 1; d >= 0; --d) { int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; if (l0 < r0) L = l0, R = r0; if (l0 == r0) L = l1, R = r1; seg[d].set(L, t); } } void multiply(int i, T t) { assert(0 <= i && i < n); int L = i, R = i + 1; seg[log].multiply(L, t); for (int d = log - 1; d >= 0; --d) { int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; if (l0 < r0) L = l0, R = r0; if (l0 == r0) L = l1, R = r1; seg[d].multiply(L, t); } } }; /* // 座圧するかどうかを COMPRESS で指定する // xor 的な使い方をする場合には、コンストラクタで log を渡すこと template <typename T, bool COMPRESS, bool USE_SUM> struct Wavelet_Matrix_Old { static_assert(is_same_v<T, int> || is_same_v<T, ll>); int N, lg; vector<int> mid; vector<Bit_Vector> bv; vc<T> key; bool set_log; vvc<T> cumsum; Wavelet_Matrix_Old() {} // 和を使わないなら、SUM_data は空でよい Wavelet_Matrix_Old(vc<T> A, vc<T> SUM_data = {}, int log = -1) { build(A, SUM_data, log); } void build(vc<T> A, vc<T> SUM_data = {}, int log = -1) { if constexpr (USE_SUM) { assert(len(SUM_data) == len(A)); } N = len(A), lg = log, set_log = (log != -1); if (N == 0) { lg = 0; cumsum.resize(1); cumsum[0] = {0}; return; } vc<T>& S = SUM_data; if (COMPRESS) { assert(!set_log); key.reserve(N); vc<int> I = argsort(A); for (auto&& i: I) { if (key.empty() || key.back() != A[i]) key.eb(A[i]); A[i] = len(key) - 1; } key.shrink_to_fit(); } if (lg == -1) lg = __lg(max<ll>(MAX(A), 1)) + 1; mid.resize(lg), bv.assign(lg, Bit_Vector(N)); if constexpr (USE_SUM) cumsum.assign(1 + lg, vc<T>(N + 1, 0)); S.resize(N); vc<T> A0(N), A1(N); vc<T> S0(N), S1(N); FOR_R(d, -1, lg) { int p0 = 0, p1 = 0; if constexpr (USE_SUM) { FOR(i, N) { cumsum[d + 1][i + 1] = cumsum[d + 1][i] + S[i]; } } if (d == -1) break; FOR(i, N) { bool f = (A[i] >> d & 1); if (!f) { if constexpr (USE_SUM) S0[p0] = S[i]; A0[p0++] = A[i]; } else { if constexpr (USE_SUM) S1[p1] = S[i]; bv[d].set(i), A1[p1++] = A[i]; } } mid[d] = p0; bv[d].build(); swap(A, A0), swap(S, S0); FOR(i, p1) A[p0 + i] = A1[i], S[p0 + i] = S1[i]; } } // [L,R) x [a,b), (cnt, monoid value) pair<int, T> range_cnt_sum(int L, int R, T a, T b, T xor_val = 0) { if (xor_val != 0) assert(set_log); if (a == b) return {0, 0}; if (COMPRESS) a = LB(key, a), b = LB(key, b); int cnt = 0; T sm = 0; auto dfs = [&](auto& dfs, int d, int L, int R, T lx, T rx) -> void { if (rx <= a || b <= lx) return; if (a <= lx && rx <= b) { cnt += R - L, sm += get(d, L, R); return; } --d; T mx = (lx + rx) / 2; int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; if (xor_val >> d & 1) swap(l0, l1), swap(r0, r1); dfs(dfs, d, l0, r0, lx, mx), dfs(dfs, d, l1, r1, mx, rx); }; dfs(dfs, lg, L, R, 0, T(1) << lg); return {cnt, sm}; } // smallest k, sum of [0,k) pair<T, T> kth_value_sum(int L, int R, int k, T xor_val = 0) { assert(0 <= k && k <= R - L); if (k == R - L) { return {infty<T>, sum_all(L, R)}; } if (L == R) return {infty<T>, 0}; if (xor_val != 0) assert(set_log); T sm = 0, val = 0; for (int d = lg - 1; d >= 0; --d) { // いま幅 d+1 の trie node に居て, 幅 d のところに行く int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; if (xor_val >> d & 1) swap(l0, l1), swap(r0, r1); if (k < r0 - l0) { L = l0, R = r0; } else { k -= r0 - l0, val |= T(1) << d, L = l1, R = r1; if constexpr (USE_SUM) sm += get(d, l0, r0); } } if constexpr (USE_SUM) sm += get(0, L, L + k); if (COMPRESS) val = key[val]; return {val, sm}; } int count(int L, int R, T a, T b, T xor_val = 0) { return range_cnt_sum(L, R, a, b, xor_val).fi; } T sum(int L, int R, T a, T b, T xor_val = 0) { static_assert(USE_SUM); return range_cnt_sum(L, R, a, b, xor_val).se; } T sum_index_range(int L, int R, int k1, int k2, T xor_val = 0) { static_assert(USE_SUM); return kth_value_sum(L, R, k2, xor_val).se - kth_value_sum(L, R, k1, xor_val).se; } T kth(int L, int R, int k, T xor_val = 0) { assert(0 <= k && k < R - L); return kth_value_sum(L, R, k, xor_val).fi; } // x 以上最小 OR infty<T> T next(int L, int R, T x, T xor_val = 0) { if (xor_val != 0) assert(set_log); if (L == R) return infty<T>; if (COMPRESS) x = LB(key, x); T ans = infty<T>; auto dfs = [&](auto& dfs, int d, int L, int R, T lx, T rx) -> void { if (ans <= lx || L == R || rx <= x) return; if (d == 0) { chmin(ans, lx); return; } --d; T mx = (lx + rx) / 2; int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; if (xor_val >> d & 1) swap(l0, l1), swap(r0, r1); dfs(dfs, d, l0, r0, lx, mx), dfs(dfs, d, l1, r1, mx, rx); }; dfs(dfs, lg, L, R, 0, T(1) << lg); if (COMPRESS && ans < infty<T>) ans = key[ans]; return ans; } // x 以下最大 OR -infty<T> T prev(int L, int R, T x, T xor_val = 0) { if (xor_val != 0) assert(set_log); if (L == R) return -infty<T>; T ans = -infty<int>; ++x; if (COMPRESS) x = LB(key, x); auto dfs = [&](auto& dfs, int d, int L, int R, T lx, T rx) -> void { if ((rx - 1) <= ans || L == R || x <= lx) return; if (d == 0) { chmax(ans, lx); return; } --d; T mx = (lx + rx) / 2; int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; if (xor_val >> d & 1) swap(l0, l1), swap(r0, r1); dfs(dfs, d, l1, r1, mx, rx), dfs(dfs, d, l0, r0, lx, mx); }; dfs(dfs, lg, L, R, 0, T(1) << lg); if (COMPRESS && ans != -infty<T>) ans = key[ans]; return ans; } // xor した結果で、[L, R) の中で中央値。 // LOWER = true:下側中央値、false:上側中央値 T median(bool UPPER, int L, int R, T xor_val = 0) { int n = R - L; int k = (UPPER ? n / 2 : (n - 1) / 2); return kth(L, R, k, xor_val); } T sum_all(int L, int R) { return get(lg, L, R); } // check(cnt, prefix sum) が true となるような最大の (cnt, sum) template <typename F> pair<int, T> max_right(F check, int L, int R, T xor_val = 0) { assert(check(0, 0)); if (xor_val != 0) assert(set_log); if (L == R) return {0, 0}; if (check(R - L, get(lg, L, R))) return {R - L, get(lg, L, R)}; int cnt = 0; T sm = 0; for (int d = lg - 1; d >= 0; --d) { int l0 = bv[d].count(L, 0), r0 = bv[d].count(R, 0); int l1 = L + mid[d] - l0, r1 = R + mid[d] - r0; if (xor_val >> d & 1) swap(l0, l1), swap(r0, r1); if (check(cnt + r0 - l0, sm + get(d, l0, r0))) { cnt += r0 - l0, sm += get(d, l0, r0); L = l1, R = r1; } else { L = l0, R = r0; } } int k = binary_search( [&](int k) -> bool { return check(cnt + k, sm + get(0, L, L + k)); }, 0, R - L); cnt += k, sm += get(0, L, L + k); return {cnt, sm}; } private: inline T get(int d, int L, int R) { if constexpr (USE_SUM) return cumsum[d][R] - cumsum[d][L]; return 0; } }; */ #line 1 "library/ds/static_range_product_group.hpp" template <typename Monoid> struct Static_Range_Product_Group { using MX = Monoid; using X = Monoid::value_type; int n; vc<X> dat; Static_Range_Product_Group() {} void build(vc<X>& A) { n = len(A); dat.assign(n + 1, MX::unit()); for (int i = 0; i < n; ++i) dat[i + 1] = MX::op(dat[i], A[i]); } X prod(int l, int r) { return MX::op(MX::inverse(dat[l]), dat[r]); } X sum(int l, int r) { return MX::op(MX::inverse(dat[l]), dat[r]); } }; #line 6 "main.cpp" void solve() { LL(N, Q); VEC(ll, A, N); Wavelet_Matrix<ll, false, Static_Range_Product_Group<Monoid_Add<ll>>> WM( N, [&](int i) -> pair<int, ll> { return {A[i], A[i]}; }); FOR(Q) { LL(l, r, x); --l; auto [k, sm] = WM.count_and_prod(l, r, 0, x); ll ANS = (r - l - k) * x + sm; print(ANS); } } signed main() { solve(); return 0; }